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Finding the Third Proportional to 689.77 and 1,048.78

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Solution

The third proportional to 689.77 and 1,048.78 is: 1,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.77 : 1,048.78 = 1,048.78 : x
  2. Step 2: Convert to fraction form
    689.77/1,048.78 = 1,048.78/x
  3. Step 3: Cross multiply
    689.77x = 1,048.78 × 1,048.78
  4. Step 4: Simplify right side
    689.77x = 1,099,942.11
  5. Step 5: Solve for x
    x = 1,099,942.11/689.77
  6. Step 6: Final answer
    x = 1,594.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.